Subgroup Complexes
Subgroup Complexes
About this book
This book is intended as an overview of a research area that combines geometries for groups (such as Tits buildings and generalizations), topological aspects of simplicial complexes from $p$-subgroups of a group (in the spirit of Brown, Quillen, and Webb), and combinatorics of partially ordered sets. The material is intended to serve as an advanced graduate-level text and partly as a general reference on the research area. The treatment offers optional tracks for the reader interested in buildings, geometries for sporadic simple groups, and $G$-equivariant equivalences and homology for subgroup complexes.
Details
- OL Work ID
- OL8826432W
Subjects
Group theoryGroup theory and generalizations -- Representation theory of groups -- Representations of sporadic groupsFinite groupsGroup theory and generalizations -- Abstract finite groups -- Finite simple groups and their classificationGroup theory and generalizations -- Abstract finite groups -- Series and lattices of subgroupsGroup theory and generalizations -- Abstract finite groups -- Simple groups: alternating groups and groups of Lie typeGroup theory and generalizations -- Connections with homological algebra and category theory -- Homological methods in group theoryGroup theory and generalizations -- Abstract finite groups -- Simple groups: sporadic groupsCombinatorics -- Algebraic combinatorics -- Group actions on combinatorial structuresAlgebraic topology -- Homotopy theory -- Homotopy theoryGroup theory and generalizations -- Representation theory of groups -- Representations of finite groups of Lie typeAlgebraic topology -- Applied homological algebra and category theory -- Applied homological algebra and category theoryAlgebraic topology